where \(q\in (0,1)\)  and \(A_j:=A\cap \lbrace x\in \mathbb {R}^n:\ q^{j+1}<|x-y|\leqslant q^j\rbrace \) , while by the Kellogg–Evans type theorem [1]},Observe that both (REF ) and (REF ) refer to inner capacity; compare with the Kellogg–Evans and Wiener type theorems established for outer balayage (see e.g. [2]}, [3]}, [4]}, [5]}). Regarding (REF ), we also note that the whole set \(A_I\)  may be of nonzero capacity [6]}.
\(c_\alpha (A\cap A_I)=0.\) 
